Write each of the following in symbols:

The sum of \(x\) and \(5\) is less than \(2\).
The product of \(3\) and \(x\) is \(21\).
The quotient of \(y\) and \(6\) is \(4\).
Twice the difference of \(b\) and \(7\) is greater than \(5\).
The difference of twice \(b\) and \(7\) is greater than \(5\).

Expand and multiply: \(5^2\)

Expand and multiply: \(2^5\)

Expand and multiply: \(4^3\)

Simplify: \(\; 5+3(2+4)\)

Simplify: \(\; 5\cdot 2^3-4\cdot 3^2\)

Simplify: \(\; 20-(2\cdot 5^2-30)\)

Simplify: \(40-20 \div 5+8\)

Simplify the expression \(\dfrac{72-68}{5}\)

Evaluate the expression \(\dfrac{23.6+16.3+18.9}{7-1}\)

Evaluate \(a^2+8a+16\) when \(a\) is \(0, 1, 2, 3,\) and \(4\)

Evaluate \(\dfrac{x-\overline{x}}{s}\) if \(x=186\), \(\overline{x}=135.8\), and \(s=35.2\).

Evaluate \(\dfrac{s^2}{n}\) for the given values of the variables.

1. \(s=12\) and \(n=10\)

2. \(s=4.3\) and \(n=100\)

Let \(A=\{1, 3, 5\}\), \(B=\{0, 2, 4\}\), and \(C=\{1, 2, 3, \ldots\}\). Find \(A\cup B\).

Let \(A=\{1, 3, 5\}\), \(B=\{0, 2, 4\}\), and \(C=\{1, 2, 3, \ldots\}\). Find \(A\cap B\).

Let \(A=\{1, 3, 5\}\), \(B=\{0, 2, 4\}\), and \(C=\{1, 2, 3, \ldots\}\). Find \(A\cap C\).

Let \(A=\{1, 3, 5\}\), \(B=\{0, 2, 4\}\), and \(C=\{1, 2, 3, \ldots\}\). Find \(B\cup C\).

If \(A=\{1,2,3,4,5,6\}\), find \(C=\{x \mid x\in A \text{ and } x\geq4\}\).

Write each of the following in symbols:

The sum of \(x\) and \(5\) is less than \(2\).
The product of \(3\) and \(x\) is \(21\).
The quotient of \(y\) and \(6\) is \(4\).
Twice the difference of \(b\) and \(7\) is greater than \(5\).
The difference of twice \(b\) and \(7\) is greater than \(5\).

Simplify: \(\; 5+3(2+4)\)

Simplify: \(40-20 \div 5+8\)

Simplify \((-2-3)(5-9)\)

Simplify \(2-5(7-4)-6\)

Simplify \(2(4-7)^3+(-2-3)^2\)

Simplify: \(\dfrac{-8-8}{-5-3}\)

Simplify: \(\dfrac{-5(-4)+2(-3)}{2(-1)-5}\)

Find the value of the expression \(3x+4y+5\) when \(x\) is \(6\) and \(y\) is \(7\)

Write \(\lvert 5\rvert\) without absolute value symbols.

Write \(\lvert -2\rvert\) without absolute value symbols

Write \(-\lvert -3\rvert\) without absolute value symbols

Simplify \(5(4x)\) by using the associative property.

Simplify \(\dfrac{1}{4}(4a)\) by using the associative property.

Apply the distributive property to \(\dfrac{1}{2}(3x+6)\) and then simplify the result.

Simplify: \(\,2(3y+4)+2\)

Apply the distributive property to \(a\left(1+\dfrac{1}{a}\right)\) and then simplify the result.

Apply the distributive property to \(3\left(\dfrac{1}{3}x+5\right)\) and then simplify the result.

Apply the distributive property to \(6\left(\dfrac{1}{3}x+\dfrac{1}{2}y\right)\) and then simplify the result.

Use the distributive property to combine similar terms for the expression \(3x+5x\).

Use the distributive property to combine similar terms for the expression \(3y+y\)

Simplify: \(7x+4+6x+3\)

Simplify: \(4+3(2y+5)+8y\)

Simplify: \(3(2y-1)+y\)

Simplify: \(8-3(4x-2)+5x\)

Simplify: \(5(2a+3)-(6a-4)\)

Let \(A=\{1, 3, 5\}\), \(B=\{0, 2, 4\}\), and \(C=\{1, 2, 3, \ldots\}\). Find \(A\cup B\).

Let \(A=\{1, 3, 5\}\), \(B=\{0, 2, 4\}\), and \(C=\{1, 2, 3, \ldots\}\). Find \(A\cap B\).

Let \(A=\{1, 3, 5\}\), \(B=\{0, 2, 4\}\), and \(C=\{1, 2, 3, \ldots\}\). Find \(A\cap C\).

Let \(A=\{1, 3, 5\}\), \(B=\{0, 2, 4\}\), and \(C=\{1, 2, 3, \ldots\}\). Find \(B\cup C\).

For the set \(\left\{-5, \,-3.5, \,0, \,\frac{3}{4}, \,\sqrt{3}, \,\sqrt{5}, \,9\right\}\), list:

1. whole numbers

2. integers

3. rational numbers

4. irrational numbers

5. real numbers